MAE 2101 Statics
Final Exam Study Guide
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For Show Work problems: Show all work for partial credit. Attach your own paper, if
necessary. Remember to specify units and indicate sign or direction, where appropriate.
You may use one regular (8.5” x 11”) sheet of paper for your formulas and any other notes
or diagrams you think you may need (front & back).
Required tables and properties of areas and solids will be provided.
Topic
Problem
Type
Pts
Diagrams / Notes
Similar
problem
from text
2-114
Vector dot
product
Multiple
Choice
5
Given vectors in Cartesian form, find
projection of a force vector in a given
direction.
Vector cross
product
Multiple
Choice
5
Given a force vector, find the induce
moment using vector cross products
Vector cosines
Multiple
Choice
5
Given a vector in Cartesian form, find its 2-93
direction cosines.
Vector
equilibrium
Multiple
Choice
5
Given a set of force vectors, find the
resultant, then find the vector opposite
of the resultant that will maintain
equilibrium
3-26
Structures in
equilibrium
Multiple
Choice
5
Given a beam with discrete forces,
distributed forces and discrete moments,
find the missing force that will maintain
equilibrium.
4-150
Shear & Moment Multiple
Diagrams
Choice
Couple Moments Multiple
Choice
5
Choose the correct shear and moment
diagrams for a given loaded beam.
Given a couple moment, find the
balancing couple moment for
equilibrium.
Zero-force
members
Multiple
Choice
5
Identify the zero-force member in a truss 6-46
diagram.
Center of mass
of discrete points
Multiple
Choice
5
Find the center of mass for a set of
discrete masses.
9-75
Centroid of a
composite body
Multiple
Choice
5
Find the centroid of a composite body
using the provided area properties.
9-63
R. Gist
5
1
2-114
4-73
MAE 2101 Statics
Final Exam Study Guide
Internal Forces
Multiple
Choice
5
Determine the internal shear and
moment on a beam at a certain point.
10-92
Trusses
Multiple
Choice
5
Find the internal compressive or tensive
force in a particular member of a truss.
6-3
Min/Max
moment of
inertia
Moment of
Inertia of an area
Friction
Multiple
Choice
5
10-72
Multiple
Choice
Show work
5
Theorem of
Pappus &
Guldinus
Show work
10
Using the formula or Mohr’s circle,
compute the minimum and maximum
moments of inertia given Ix, Iy, Ixy
Identify the correct integral formula for
the moment of inertia of an area.
Determine the force required to move an
object taking friction into account. Will
the object tip first or slip?
Find the surface area of a solid of
rotation. Find the volume of the solid.
10
10-4
8-18
9-77
Potential Extra Credit Problems
Topic
Friction of a
belt over a
drum.
Problem
Type
Multiple
Choice
Points
Similar problem from
text
8-88
5
Apply the formula for
friction of a belt over a
round drum to find the force
necessary to cause the belt
to move.
Identify the formula found
11-8
from applying the principal
of virtual work.
Identify the internal member 6-18
forces of a simple truss
Virtual work
Multiple
Choice
5
Truss
(method of
joints)
Centroid of
an area
Multiple
Choice
5
Multiple
Choice
5
Product of
Inertia
Multiple
Choice
5
R. Gist
Diagrams / Notes
Identify the correct integral
formula to compute the
centroid of an area.
Identify the correct integral
formula to compute the
product of inertia of a body.
2
9-24
10-58